• PRIMARY IDEALS IN QUASI-COMMUTATIVE TERNARY SEMIGEOUPS

D. Madhusudhana Rao*

Abstract


In this paper we study the structure of cancellative quasi-commutative primary ternary semigroups.  In fact we prove that if T is a cancellative quasi-commutative ternary semigroup, then (1) S is a primary ternary semigroup (2) proper prime ideals in T are maximal and (3) semiprimary ideals in T are primary, are equivalent.


Keywords


Quasi-commutative, Primary Ideal, Semiprimary Ideal, Proper Prime Ideal.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2011-2019 Research Journal of Pure Algebra (RJPA)
Copyright Agreement & Authorship Responsibility
HTML Counter
Counter